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• W2971732622 abstract "In this paper, we are concerned with the multiplicity and concentration of solutions for a Hamiltonian system driven by the fractional Laplace operator with variable order derivative. More precisely, we consider Lu+λL(x)u=∇uH(x,u)in R, where u=(u1,…,uN), N≥ 2, L is a nonlocal fractional integro-differential operator with variable order derivative, λ>0 is a parameter, L:R→RN×N is a real symmetric matrix and H:R×RN→R belongs to C1. Under some suitable assumptions, we show that the system admits at least two distinct homoclinic solutions. Moreover, we investigate the concentration of solutions as λ→∞. This paper is the first time to deal with Hamiltonian systems with variable order fractional derivatives. Moreover, our system is anisotropic. Thus this is different from other papers in the literature." @default.
• W2971732622 created "2019-09-12" @default.
• W2971732622 creator A5024694181 @default.
• W2971732622 creator A5065859563 @default.
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• W2971732622 date "2019-09-01" @default.
• W2971732622 modified "2023-09-27" @default.
• W2971732622 title "Homoclinic solutions for Hamiltonian systems with variable-order fractional derivatives" @default.
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• W2971732622 doi "https://doi.org/10.1080/17476933.2019.1652281" @default.
• W2971732622 hasPublicationYear "2019" @default.
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